Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.1s (51.1%)

Results

983.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify116.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
889×	`associate-/r*_binary64`
605×	`neg-sub0_binary64`
599×	`neg-mul-1_binary64`
576×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	26
3	261	26
4	684	26
5	1088	24
6	1801	24
7	3541	24
8	3914	24
9	4002	24
10	4416	24
11	4409	24
12	4415	24
13	5159	24

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	0.0b	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))

Status

Error

Program

1.0b

(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

▶

0.0b

(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

Compiler

Compiled 113 to 85 computations (24.8% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (PI.f64) (fma.f64 v v -1))
✓	0.0b	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
✓	1.0b	(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))

series38.0ms (1.7%)

Counts

3 → 36

Calls

3 calls:

29.0ms	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
6.0ms	(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
3.0ms	(*.f64 (PI.f64) (fma.f64 v v -1))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
24×	`sqrt-prod_binary64`

Counts

3 → 119

Calls

3 calls:

5.0ms	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
4.0ms	(*.f64 (PI.f64) (fma.f64 v v -1))
3.0ms	(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))

simplify156.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
281×	`associate-/r*_binary64`
258×	`cancel-sign-sub-inv_binary64`
201×	`neg-mul-1_binary64`
192×	`fma-neg_binary64`

Counts

155 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	5140
1	899	4776
2	3213	4751
3	4811	4751
4	5019	4751

prune153.0ms (7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	190	1	191

Error

Counts

191 → 1

Alt Table

Status	Error	Program
▶	0b	(/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))

Compiler

Compiled 5651 to 4195 computations (25.8% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
✓	0.0b	(/.f64 -4/3 (fma.f64 v v -1))
✓	0.0b	(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1)))

series60.0ms (2.7%)

Counts

3 → 36

Calls

3 calls:

49.0ms	(/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
8.0ms	(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1)))
3.0ms	(/.f64 -4/3 (fma.f64 v v -1))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
46×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
35×	`add-cbrt-cube_binary64`
31×	`*-un-lft-identity_binary64`

Counts

3 → 129

Calls

3 calls:

10.0ms	(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1)))
7.0ms	(/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
2.0ms	(/.f64 -4/3 (fma.f64 v v -1))

simplify167.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
225×	`fma-neg_binary64`
202×	`associate-/r*_binary64`
195×	`associate-/l*_binary64`
181×	`sub-neg_binary64`

Counts

165 → 236

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	369	4578
1	1015	4033
2	3608	4016
3	4774	4015
4	4987	4015
5	4920	4015

prune194.0ms (8.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	1	237

Error

Counts

237 → 1

Alt Table

Status	Error	Program
✓	0b	(/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))

Compiler

Compiled 6917 to 5178 computations (25.1% saved)

regimes56.0ms (2.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

14 → 1

Compiler

Compiled 1016 to 794 computations (21.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27
2	19	27

end50.0ms (2.3%)

Compiler: Compiled 57 to 45 computations (21.1% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (51.1%)

simplify116.0ms (5.3%)

prune5.0ms (0.2%)

localize11.0ms (0.5%)

series38.0ms (1.7%)

rewrite20.0ms (0.9%)

simplify156.0ms (7.1%)

prune153.0ms (7%)

localize10.0ms (0.5%)

series60.0ms (2.7%)

rewrite29.0ms (1.3%)

simplify167.0ms (7.6%)

prune194.0ms (8.8%)

regimes56.0ms (2.5%)

simplify2.0ms (0.1%)

end50.0ms (2.3%)

Profiling